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共有20条相似文献,以下是第1-20项 搜索用时 183 毫秒

1.  Circuitry implementation of a novel nonautonomous hyperchaotic Liu system based on sine input  
   罗小华《中国物理 B》,2009年第18卷第8期
   Based on the three-dimensional Liu system with a nonlinear term of square,this paper appends a state variable to the system,and further adds a driving signal of the sine signal to construct a novel 4-demensional nonautonomous hyperchaotic Liu system.The appended variable is formed by the product of the nonlinear quadratic term of the original state variables and the driving signal.Through adjusting the frequency of the driving signal,the system can be controlled to show some different dynamic behaviors.By numerical simulations,the Lyapunov exponent spectrums,bifurcation diagrams and phase diagrams of the novel systems are analyzed.Furthermore,the corresponding hardware circuits are implemented.Both the experimental results and the simulation results confirm that the method is feasible.The method,which adjusts the frequency of the input sine signal to control the system to show different dynamic behaviors,can make the dynamic property of the system become more complex,but easier to be controlled accurately as well.    

2.  Nonlinear feedback control of a novel hyperchaotic system and its circuit implementation  被引次数:1
   汪浩祥  蔡国梁  缪盛  田立新《中国物理 B》,2010年第19卷第3期
   This paper reports a new hyperchaotic system by adding an additional state variable into a three-dimensional chaotic dynamical system.Some of its basic dynamical properties,such as the hyperchaotic attractor,Lyapunov exponents,bifurcation diagram and the hyperchaotic attractor evolving into periodic,quasi-periodic dynamical behaviours by varying parameter k are studied.An effective nonlinear feedback control method is used to suppress hyperchaos to unstable equilibrium.Furthermore,a circuit is designed to realize this new hyperchaotic system by electronic workbench(EWB).Numerical simulations are presented to show these results.    

3.  A new hyperchaotic system and its linear feedback control  被引次数:1
   蔡国梁  郑 松  田立新《中国物理 B》,2008年第17卷第11期
   This paper reports a new hyperchaotic system by adding an additional state variable into a three-dimensional chaotic dynamical system, studies some of its basic dynamical properties, such as the hyperchaotic attractor, Lyapunov exponents, bifurcation diagram and the hyperchaotic attractor evolving into periodic, quasi-periodic dynamical behaviours by varying parameter k. Furthermore, effective linear feedback control method is used to suppress hyperchaos to unstable equilibrium, periodic orbits and quasi-periodic orbits. Numerical simulations are presented to show these results.    

4.  A new output feedback synchronization theorem for a class of chaotic systems with a scalar transmitted signal  
   卢俊国《中国物理》,2006年第15卷第1期
   This paper proposes a new, simple and yet applicable output feedback synchronization theorem for a large class of chaotic systems. We take a linear combination of drive system state variables as a scale-driving signal. It is proved that synchronization between the drive and the response systems can be obtained via a simple linear output error feedback control. The linear feedback gain is a function of a free parameter. The approach is illustrated using the RSssler hyperchaotic systems and Chua's chaotic oscillators.    

5.  Synchronization and parameter identification of one class of realistic chaotic circuit  
   王春妮  马军  褚润通  李世荣《中国物理 B》,2009年第18卷第9期
   In this paper,the synchronization and the parameter identification of the chaotic Pikovsky-Rabinovich(PR) circuits are investigated.The linear error of the second corresponding variables is used to change the driven chaotic PR circuit,and the complete synchronization of the two identical chaotic PR circuits is realized with feedback intensity k increasing to a certain threshold.The Lyapunov exponents of the chaotic PR circuits are calculated by using different feedback intensities and our results are confirmed.The case where the two chaotic PR circuits are not identical is also investigated.A general positive Lyapunov function V,which consists of all the errors of the corresponding variables and parameters and changeable gain coefficient,is constructed by using the Lyapunov stability theory to study the parameter identification and complete synchronization of two non-identical chaotic circuits.The controllers and the parameter observers could be obtained analytically only by simplifying the criterion dV/dt < 0(differential coefficient of Lyapunov function V with respect to time is negative).It is confirmed that the two non-identical chaotic PR circuits could still reach complete synchronization and all the unknown parameters in the drive system are estimated exactly within a short transient period.    

6.  A new hyperchaos system and its circuit simulation by EWB  
   周平  曹玉霞  程雪峰《中国物理 B》,2009年第18卷第4期
   This paper reports a new hyperchaotic system evolved from the three-dimensional L chaotic system. The Lyapunov exponents spectrum and the bifurcation diagram of this new hyperchaotic system are obtained. Hyperchaotic attractor, periodic orbit and chaotic attractor are obtained by computer simulation. A circuit is designed to realize this new hyperchaotic system by electronic workbench.    

7.  A novel hyperchaos evolved from three dimensional modified Lorenz chaotic system  
   王繁珍  陈增强  吴文娟  袁著祉《中国物理》,2007年第16卷第11期
   This paper reports a new four-dimensional continuous autonomous hyperchaos generated from the Lorenz chaotic system by introducing a nonlinear state feedback controller. Some basic properties of the system are investigated by means of Lyapunov exponent spectrum and bifurcation diagrams. By numerical simulating, this paper verifies that the four-dimensional system can evolve into periodic, quasi-periodic, chaotic and hyperchaotic behaviours. And the new dynamical system is hyperchaotic in a large region. In comparison with other known hyperchaos, the two positive Lyapunov exponents of the new system are relatively more larger. Thus it has more complex degree.[第一段]    

8.  Adaptive synchronization of hyperchaotic Lü system with uncertainty  被引次数:1
   高秉建  陆君安《中国物理》,2007年第16卷第3期
   This paper presents a novel adaptive control scheme for synchronization of the latest hyperchaotic Lü system. Based on the Lyapunov stability theory, a feedback controller and a parameter update law are designed for the synchronization of hyperchaotic Lfi systems with uncertainty. Numerical simulations are given to demonstrate the validity of the synchronization technique.    

9.  Adaptive synchronization of hyperchaotic Lü system with uncertainty  
   高秉建 陆君安《中国物理》,2007年第16卷第3期
   This paper presents a novel adaptive control scheme for synchronization of the latest hyperchaotic Lü system. Based on the Lyapunov stability theory, a feedback controller and a parameter update law are designed for the synchronization of hyperchaotic Lfi systems with uncertainty. Numerical simulations are given to demonstrate the validity of the synchronization technique.    

10.  A single adaptive controller with one variable for synchronization of fractional-order chaotic systems  
   张若洵  杨世平《中国物理 B》,2012年第21卷第8期
   In this paper we investigate the synchronization of a class of three-dimensional fractional-order chaotic systems.Based on the Lyapunov stability theory and adaptive control technique,a single adaptive-feedback controller is developed to synchronize a class of fractional-order chaotic systems.The presented controller which only contains a single driving variable is simple both in design and in implementation.Numerical simulation and circuit experimental results for fractional-order chaotic system are provided to illustrate the effectiveness of the proposed scheme.    

11.  Projective synchronization of a hyperchaotic system via periodically intermittent control  
   黄军建  李传东  张伟  韦鹏程《中国物理 B》,2012年第9期
   We further study the projective synchronization of a new hyperchaotic system. Different from the most existing methods, intermittent control is applied to chaotic synchronization in the present paper. We formulate the intermittent control system that governs the dynamics of the projective synchronization error, then derive the sufficient conditions for the exponential stability of intermittent control system by using the Lyapunov stability theory, and finally establish the periodically intermittent controller according to the stability criterion by which the projective synchronization is expected to be achieved. The analytical results are also demonstrated by several numerical simulations.    

12.  Chaotic synchronization via linear controller  
   陈凤祥  张卫东《中国物理》,2007年第16卷第4期
   A technical framework of constructing a linear controller for chaotic synchronization by utilizing the stability theory of cascade-connected system is presented. Based on the method developed in the paper, two simple and linear feedback controllers, as examples, are derived for the synchronization of Liu chaotic system and Duffing oscillator, respectively. This method is quite flexible in constructing a control law. Its effectiveness is also illustrated by the simulation results.    

13.  A novel mixed-synchronization phenomenon in coupled Chua’s circuits via non-fragile linear control  
   王军威  马庆华  曾丽《中国物理 B》,2011年第20卷第8期
   Dynamical variables of coupled nonlinear oscillators can exhibit different synchronization patterns depending on the designed coupling scheme.In this paper,a non-fragile linear feedback control strategy with multiplicative controller gain uncertainties is proposed for realizing the mixed-synchronization of Chua’s circuits connected in a drive-response configuration.In particular,in the mixed-synchronization regime,different state variables of the response system can evolve into complete synchronization,anti-synchronization and even amplitude death simultaneously with the drive variables for an appropriate choice of scaling matrix.Using Lyapunov stability theory,we derive some sufficient criteria for achieving global mixed-synchronization.It is shown that the desired non-fragile state feedback controller can be constructed by solving a set of linear matrix inequalities (LMIs).Numerical simulations are also provided to demonstrate the effectiveness of the proposed control approach.    

14.  Synchronization of the fractional-order generalized augmented L u¨system and its circuit implementation  
   薛薇  徐进康  仓诗建  贾红艳《中国物理 B》,2014年第6期
   In this paper, the synchronization of the fractional-order generalized augmented Lu¨ system is investigated. Based on the predictor–corrector method, we obtain phase portraits, bifurcation diagrams, Lyapunov exponent spectra, and Poincare′maps of the fractional-order system and find that a four-wing chaotic attractor exists in the system when the system parameters change within certain ranges. Further, by varying the system parameters, rich dynamical behaviors occur in the2.7-order system. According to the stability theory of a fractional-order linear system, and adopting the linearization by feedback method, we have designed a nonlinear feedback controller in our theoretical analysis to implement the synchronization of the drive system with the response system. In addition, the synchronization is also shown by an electronic circuit implementation for the 2.7-order system. The obtained experiment results accord with the theoretical analyses,which further demonstrate the feasibility and effectiveness of the proposed synchronization scheme.    

15.  A hyperchaotic system stabilization via inverse optimal control and experimental research  
   杨宁宁  刘崇新  吴朝俊《中国物理 B》,2010年第19卷第10期
   In this paper, some basic dynamical properties of a four-dimensional autonomous hyperchaotic system are investigated by means of Poincar′e mapping, Lyapunov exponents and bifurcation diagram. The dynamical behaviours of this new hyperchaotic system are proved not only by performing numerical simulation and brief theoretical analysis but also by conducting an electronic circuit experiment. An efficient approaching is developed for global asymptotic stabilization of this four-dimensional hyperchaotic system. Based on the method of inverse optimal control for nonlinear systems, a linear state feedback is electronically implemented. It is remarkably simple as compared with other chaos control ways, like nonlinear state feedback.    

16.  Adaptive synchronisation of fractional-order chaotic systems  
   张若洵  杨世平《中国物理 B》,2010年第19卷第2期
   A new stability theory of nonlinear dynamic systems is proposed, and a novel adaptive synchronisation method is presented for fractional-order chaotic and hyperchaotic systems based on the theory described in this paper. In comparison with previous methods, not only is the present control scheme simple but also it employs only one control strength, converges very fast, and it is also suitable for a large class of fractional-order chaotic and hyperchaotic systems. Moreover, this scheme is analytical and simple to implement in practice. Numerical and circuit simulations are used to validate and demonstrate the effectiveness of the method.    

17.  Synchronization of the fractional-order generalized augmented Lii system and its circuit implementation  
   薛薇  ;徐进康  ;仓诗建  ;贾红艳《中国物理 B》,2014年第6期
   In this paper, the synchronization of the fractional-order generalized augmented Lti system is investigated. Based on the predictor--corrector method, we obtain phase portraits, bifurcation diagrams, Lyapunov exponent spectra, and Poincar6 maps of the fractional-order system and find that a four-wing chaotic attractor exists in the system when the system pa- rameters change within certain ranges. Further, by varying the system parameters, rich dynamical behaviors occur in the 2.7-order system. According to the stability theory of a fractional-order linear system, and adopting the linearization by feedback method, we have designed a nonlinear feedback controller in our theoretical analysis to implement the synchro- nization of the drive system with the response system. In addition, the synchronization is also shown by an electronic circuit implementation for the 2.7-order system. The obtained experiment results accord with the theoretical analyses, which further demonstrate the feasibility and effectiveness of the proposed synchronization scheme.    

18.  Photodiode-Based Chua's Circuit with Light Controllability  
   NAM Sang Guk  NGUYEN Van Ha  SONG Hanjung《中国物理快报》,2014年第6期
   We present a photodiode-based Chua's chaotic circuit that is controllable by light. The proposed circuit consists of an inductor, two passive capacitors, a photodiode-based variable resistor, and a positive feedback trans- conductor with negative nonlinearity. The chaotic dynamics of the circuit were verified by using the simulation program with integrated circuit emphasis analysis using the 0.35 #m complementary metal-oxide-semiconductor process parameters. The gain results (such as the time waveform~ frequency analysis, three-dimensional attractor, bifurcation and Lyapunov exponents diagrams) confirm that the chaotic behavior of the circuit could be controlled by light intensity via the photodiode-based variable resistor.    

19.  Static and adaptive feedback control for synchronization of different chaotic oscillators with mutually Lipschitz nonlinearities  
   Muhammad Riaz  Muhammad Rehan  Keum-Shik Hong  Muhammad Ashraf  Haroon Ur Rasheed《中国物理 B》,2014年第11期
   This paper addresses the control law design for synchronization of two different chaotic oscillators with mutually Lipschitz nonlinearities. For analysis of the properties of two different nonlinearities, an advanced mutually Lipschitz condition is proposed. This mutually Lipschitz condition is more general than the traditional Lipschitz condition. Unlike the latter, it can be used for the design of a feedback controller for synchronization of chaotic oscillators of different dynamics. It is shown that any two different Lipschitz nonlinearities always satisfy the mutually Lipschitz condition. Applying the mutually Lipschitz condition, a quadratic Lyapunov function and uniformly ultimately bounded stability, easily designable and implementable robust control strategies utilizing algebraic Riccati equation and linear matrix inequalities, are derived for synchronization of two distinct chaotic oscillators. Furthermore, a novel adaptive control scheme for mutually Lipschitz chaotic systems is established by addressing the issue of adaptive cancellation of unknown mismatch between the dynamics of different chaotic systems. The proposed control technique is numerically tested for synchronization of two different chaotic Chua's circuits and for obtaining identical behavior between the modified Chua's circuit and the R6ssler system.    

20.  A new Rosslor hyperchaotic system and its realization with systematic circuit parameter design  被引次数:1
   王光义  何海莲《中国物理 B》,2008年第17卷第11期
   Based on two modified Rosslor hyperchaotic systems, which are derived from the chaotic Rosslor system by introducing a state feedback controller, this paper proposes a new switched Rosslor hyperchaotic system. The switched system contains two different hyperchaotic systems and can change its behaviour continuously from one to another via a switching function. On the other hand, it presents a systematic method for designing the circuit of realizing the proposed hyperchaotic system. In this design, circuit state equations are written in normalized dimensionless form by rescaling the time variable. Furthermore, an analogous circuit is designed by using the proposed method and built for verifying the new hyperchaos and the design method. Experimental results show a good agreement between numerical simulations and experimental results.    

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